Answer:
If we define the random variable X ="time spend by the students doign homework"
And we want to tes t is students spend more than 1 hour doing homework per night, on average (alternative hypothesis), so then the system of hypothesis for this case are:
Null hypothesis: 
Alternative hypothesis: 
And they wnat to use a sample size of n = 100 and a significance level of 0.05
Step-by-step explanation:
Previous concepts
A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".
The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".
The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".
Solution to the problem
If we define the random variable X ="time spend by the students doign homework"
And we want to tes t is students spend more than 1 hour doing homework per night, on average (alternative hypothesis), so then the system of hypothesis for this case are:
Null hypothesis: 
Alternative hypothesis: 
And they wnat to use a sample size of n = 100 and a significance level of 0.05
Answer:
The answer to your question is SA = 2419.34 m²
Step-by-step explanation:
Data
a = 11.42 m
side = 11 m
height = 20 m
Formula
SA = 2B + PH
Process
1.- Calculate P
Perimeter = P
P = 7(11)
= 77 m
2.- Calculate B
B = Pa/2
= (77)(11.42)/2
= 879.34/2
= 439.67 m²
3.- Calculate 2B
2B = 2(439.67)
= 879.34 m²
4.- Calculate PH
PH = (77)(20)
= 1540 m²
5.- Calculate SA
SA = 879.34 + 1540
= 2419.34 m²
We will solve this by suing simultaneous equations,
⇒ 5s + 3j = 87
4s + 2j = 64
Multiply the first equation with 4 and the second one with 5, this is to get one of the values equal so that we can cancel them out,
⇒ (5s + 3j = 87) × 4
(4s + 2j = 64) × 5
∴ ⇒ 20s + 12j = 348
20s + 10j = 320
Subtract both the equations. This is how your result (after subtraction) should look like,
⇒ 2j = 28
∴ ⇒ j = $14
Now replace the value of 'j' in one of the original equations,
⇒ 4s + 2(14) = 64
⇒ 4s + 28 = 64
⇒ 4s = 64 - 28
⇒ 4s = 36
∴ ⇒ s = $9
Therefore, one pair of jeans cost $14 and a shirt costs $9
Hope you understood! Feel free to ask me if you didn't understand a step.
Answer:
The answer is D.117
Step-by-step explanation:
Supplementary angles equal 180°.
180-63=117
Answer:
x=32 degrees
Step-by-step explanation:
We know 180 degrees in triangle
That box means 90 degrees so...
58+90=148
180-148=32
x=32 degrees